Order 3328.
2614 conjugacy classes of subgroups.
The subgroup lattice has 364 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 2. #13120198 | C2 | direct (N × H) |
| 38. C22×Q8×C13 | Q8 | semidirect |
| 81. C2×Q8×C13 | C2×Q8 | semidirect |
| 216. C22×Q8 | Dic26 | semidirect |
| 251. C2×C13 | #2581 | semidirect |
| 264. C2×Q8 | C2×Dic26 | semidirect |
| 302. C13 | C2×#2581 | semidirect |
| 357. C2 | #13120198 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4×Dic26 | 2 |
| #13120198 | 2 |
| C2×#11718647 | 2 |
| C2×#11718640 | 2 |
| C2×#11718891 | 2 |
| C2×#11718634 | 2 |
| C2×#11718594 | 2 |
| C2×#11718597 | 2 |
| C22×C4×Q8×C13 | 2 |
| C2×#2581 | 13 |